Identifying Large Factored Numbers - 3 Factors (Level 2)

This math topic focuses on factoring large numbers into a product of primes with designated exponents, where each question requires identifying three specific factors of the given number. The problems involve breaking down complex numbers such as 945, 1400, 600, 1575, 3430, and 882. Each example provides multiple-choice answers, enhancing skills in multiplication, division, and understanding of fractions through practical factoring exercises. This level of practice helps deepen understanding of how numbers can be decomposed into their fundamental prime factors.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factoring - Identifying Large Factored Numbers - 3 Factors Worksheet

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Factoring - Identifying Large Factored Numbers - 3 Factors
1
Factor 882 to find p, y, and b
A LaTex expression showing 882 = p to the power of 2 times y to the power of 2 times b to the power of 1
a
p=7, y=3, b=5
b
p=7, y=3, b=2
c
p=7, y=3, b=5
d
p=3, y=2, b=11
e
p=3, y=2, b=5
2
Factor 600 to find m, y, and d
A LaTex expression showing 600 = m to the power of 2 times y to the power of 3 times d to the power of 1
a
m=5, y=2, d=3
b
m=5, y=3, d=13
c
m=5, y=3, d=11
d
m=5, y=3, d=13
e
m=5, y=2, d=11
3
Factor 1750 to find n, p, and y
A LaTex expression showing 1750 = n to the power of 1 times p to the power of 1 times y to the power of 3
a
n=7, p=2, y=13
b
n=7, p=5, y=3
c
n=2, p=5, y=11
d
n=7, p=2, y=5
e
n=2, p=5, y=13
4
Factor 1750 to find d, p, and m
A LaTex expression showing 1750 = d to the power of 1 times p to the power of 3 times m to the power of 1
a
d=5, p=7, m=11
b
d=2, p=5, m=3
c
d=2, p=5, m=7
d
d=2, p=5, m=11
e
d=2, p=7, m=11
5
Factor 3430 to find p, c, and m
A LaTex expression showing 3430 = p to the power of 3 times c to the power of 1 times m to the power of 1
a
p=7, c=2, m=3
b
p=7, c=5, m=2
c
p=7, c=2, m=11
d
p=5, c=2, m=13
e
p=7, c=2, m=11
6
Factor 945 to find b, n, and x
A LaTex expression showing 945 = b to the power of 1 times n to the power of 1 times x to the power of 3
a
b=7, n=5, x=2
b
b=5, n=3, x=2
c
b=5, n=3, x=11
d
b=7, n=5, x=3
e
b=7, n=5, x=13
7
Factor 750 to find n, x, and y
A LaTex expression showing 750 = n to the power of 1 times x to the power of 3 times y to the power of 1
a
n=3, x=2, y=7
b
n=5, x=2, y=7
c
n=5, x=2, y=11
d
n=3, x=2, y=13
e
n=3, x=5, y=2
8
Factor 672 to find b, c, and z
A LaTex expression showing 672 = b to the power of 1 times c to the power of 1 times z to the power of 5
a
b=7, c=3, z=13
b
b=3, c=2, z=11
c
b=7, c=3, z=11
d
b=7, c=3, z=2
e
b=7, c=2, z=5